Question Number 122423 by ajfour last updated on 16/Nov/20
Commented by ajfour last updated on 16/Nov/20
$${If}\:\:{b}<{a}<\mathrm{2}{b}\:\:{and}\:\theta_{{max}} =\mathrm{30}° \\ $$$${find}\:{side}\:{s}\:{of}\:{square}. \\ $$
Commented by mr W last updated on 17/Nov/20
$${b}\:\mathrm{tan}\:\theta+{s}\:\mathrm{cos}\:\theta={a} \\ $$$${s}=\frac{{a}−{b}\:\mathrm{tan}\:\theta}{\mathrm{cos}\:\theta} \\ $$
Commented by ajfour last updated on 17/Nov/20
$${thanks}\:{sir}! \\ $$$${Only}\:{if}\:{you}\:{shall}\:{entertain}\:{this} \\ $$$${additional}\:{question},\:{Sir}.. \\ $$$$ \\ $$$${If}\:{the}\:{square}\:{plate}\:{is}\:{released}\:{at} \\ $$$${this}\:\:\:\theta_{{max}} \:\:{at}\:{rest},\:{find}\:{at}\:{what} \\ $$$${angle}\:{shall}\:{it}\:{loose}\:{contact}\:{wirh} \\ $$$${the}\:{right}\:{wall}\:{of}\:{the}\:{fixed} \\ $$$${rectangular}\:{container}? \\ $$
Commented by mr W last updated on 18/Nov/20
$${seems}\:{unsolvable}\:{for}\:{me},\:{since}\:{we} \\ $$$${have}\:{three}\:{contact}\:{forces}. \\ $$